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Ae^{x}=k
Swap sides so that all variable terms are on the left hand side.
e^{x}A=k
The equation is in standard form.
\frac{e^{x}A}{e^{x}}=\frac{k}{e^{x}}
Divide both sides by e^{x}.
A=\frac{k}{e^{x}}
Dividing by e^{x} undoes the multiplication by e^{x}.